Force-extension relations for polymers with sliding links

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 2, 2002, Pages

  Metzler, Ralf ^a,b   Kantor, Yacov ^a,c   Kardar, Mehran ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b NORDITA   (Denmark)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

END-TO-END DISTANCE (EED); STATISTICAL EFFECTS; STATISTICAL WEIGHTS; TOPOLOGICAL ENTANGLEMENTS;

ATOMIC FORCE MICROSCOPY; ELASTICITY; MONOMERS; PROBABILITY DENSITY FUNCTION; STATISTICAL MECHANICS; TOPOLOGY; VECTORS;

BIOPOLYMERS;

EID: 41349096404     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.022102     Document Type: Article

References (39)

1. H.L. Frisch and E. Wasserman, J. Am. Chem. Soc. 83, 3789 (1961);K. Mislow, Introduction to Stereochemistry (Benjamin, New York, 1965);G. Schill, Catenanes, Rotaxanes, and Knots (Academic, New York, 1971);
2. D.M. Walba, Tetrahedron 41, 3161 (1985);Catenanes, Rotaxanes, and Knots, edited by J.-P. Sauvage and C. Dietrich-Buchecker (VCH, Weilheim, 1999).
3. B. Alberts, K. Roberts, D. Bray, J. Lewis, M. Raff, and J.D. Watson, The Molecular Biology of the Cell (Garland, New York, 1994).
4. V.V. Rybenkov, N.R. Cozazarelli, and A.V. Vologodskii, Proc. Natl. Acad. Sci. U.S.A. 90, 5307 (1993);
5. S.Y. Shaw and J.C. Wang, Science 260, 533 (1993).
6. W.R. Bauer, F.H.C. Crick, and J.H. White, Sci. Am. 243, 118 (1980);
7. N.R. Cozzarelli, S.J. Spengler, and A. Stasiak, Cell 42, 325 (1985);
8. S.A. Wasserman and N.R. Cozzarelli, Science 232, 951 (1986).
9. H. Wang, R.J. Di Gate, and N.C. Seeman, Proc. Natl. Acad. Sci. U.S.A. 93, 9477 (1996).
10. W.R. Taylor, Nature (London) 406, 916 (2000);
11. R. Takusagawa and K. Kamitori, J. Am. Chem. Soc. 118, 8945 (1996).
12. T. Arai, R. Yasuda, K.-i. Akashi, Y. Harada, H. Miyata, K. Kinosita, Jr., and H. Itoh, Nature (London) 399, 446 (1999).
13. M. Rief, M. Gautel, F. Oesterhelt, J.M. Fernandez, and H.E. Gaub, Science 276, 1109 (1997);
14. ScienceS.B. Smith, L. Finzi, and C. Bustamante, 258, 1122 (1992);
15. ScienceB. Smith, Y. Cui, and C. Bustamante, 271, 795 (1996);
16. K. Svoboda and S.M. Block, Annu. Rev. Biophys. Biomol. Struct. 23, 247 (1994);
17. A. Ashkin, Proc. Natl. Acad. Sci. U.S.A. 94, 4853 (1997);
18. H.G. Hansma, J. Vac. Sci. Technol. B 14, 1390 (1995);K. Berg-Sorensen and H. Flyvbjerg (unpublished).
19. P.G. de Gennes, Scaling Concepts in Polymers Physics (Cornell University Press, Ithaca, New York, 1979).
20. M. Doi and S.F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
21. J.W. Alexander, Trans. Am. Math. Soc. 30, 275 (1928);
22. V.F.R. Jones, Bull. Am. Math. Soc. 12, 103 (1985);
23. V.F.R. JonesPac. J. Math. 137, 311 (1989);
24. P. Freyd, D. Yetter, J. Hoste, W.B.R. Lickorish, K.C. Millett, and A. Ocneanu, Bull. Am. Math. Soc. 12, 103 (1985);
25. L.H. Kauffman, Topology 26, 395 (1987).
26. M. Doi and S.F. Edwards, J. Chem. Soc., Faraday Trans. 2 74, 1802 (1978);
27. R.C. Ball, M. Doi, S.F. Edwards, and M. Warner, Polymer 22, 1010 (1981);
28. D. Adolf, Macromolecules 21, 228 (1988);
29. M. Kosc, Colloid Polym. Sci. 266, 105 (1988);
30. P.G. Higgs and R.C. Ball, Europhys. Lett. 8, 357 (1989).
31. R. Metzler, A. Hanke, P.G. Dommersnes, Y. Kantor, and M. Kardar, Phys. Rev. Lett. 88, 188101 (2002);
32. R. MetzlerA. HankeP.G. DommersnesY. KantorM. KardarPhys. Rev. E 65, 061103 (2002).
33. P. Pincus, Macromolecules 9, 386 (1976);
34. P.G. de Gennes, P. Pincus, R.M. Velasco, and F. Brochard, J. Phys. (Paris) 37, 1461 (1976).
35. For (Formula presented) (Formula presented), while for (Formula presented) (Formula presented).
36. The numerical prefactor (Formula presented) will be of order unity when the diameter b of the SL is of the same order of magnitude as the elementary step size a. For (Formula presented), the prefactor will be of the order (Formula presented), for (Formula presented).
37. The short-distance scaling behavior of this example is, in fact, the same as with m additional slip links sliding on the central loop 13.
38. O. Farago, Y. Kantor, and M. Kardar, Europhys. Lett. (to be published);
39. O. FaragoY. KantorM. Kardare-printcond-mat/0205111